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Finding the Fourth Proportional to 5,006.18, 7,509.71 and 1,308.38

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Solution

The fourth proportional to 5,006.18, 7,509.71 and 1,308.38 is: 1,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.18 : 7,509.71 = 1,308.38 : x
  2. Step 2: Convert to fraction form
    5,006.18/7,509.71 = 1,308.38/x
  3. Step 3: Cross multiply
    5,006.18x = 7,509.71 × 1,308.38
  4. Step 4: Simplify right side
    5,006.18x = 9,825,554.37
  5. Step 5: Solve for x
    x = 9,825,554.37/5,006.18
  6. Step 6: Final answer
    x = 1,962.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.